Search a number
-
+
3135703344 = 243233318581
BaseRepresentation
bin1011101011100111…
…0000100100110000
322002112101020022220
42322321300210300
522410220001334
61235053001040
7140464016154
oct27271604460
98075336286
103135703344
11136a028374
12736183180
133ac848c87
1421a64d064
1513544c449
hexbae70930

3135703344 has 80 divisors (see below), whose sum is σ = 8479290624. Its totient is φ = 996652800.

The previous prime is 3135703273. The next prime is 3135703349. The reversal of 3135703344 is 4433075313.

It is not an unprimeable number, because it can be changed into a prime (3135703349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361134 + ... + 369714.

Almost surely, 23135703344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3135703344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239645312).

3135703344 is an abundant number, since it is smaller than the sum of its proper divisors (5343587280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3135703344 is a wasteful number, since it uses less digits than its factorization.

3135703344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8946 (or 8940 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 33.

The square root of 3135703344 is about 55997.3512230713. The cubic root of 3135703344 is about 1463.6761280047.

Adding to 3135703344 its reverse (4433075313), we get a palindrome (7568778657).

The spelling of 3135703344 in words is "three billion, one hundred thirty-five million, seven hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 331 368 552 662 993 1104 1324 1986 2648 3972 5296 7613 7944 8581 15226 15888 17162 22839 25743 30452 34324 45678 51486 60904 68648 91356 102972 121808 137296 182712 197363 205944 365424 394726 411888 592089 789452 1184178 1578904 2368356 2840311 3157808 4736712 5680622 8520933 9473424 11361244 17041866 22722488 34083732 45444976 65327153 68167464 130654306 136334928 195981459 261308612 391962918 522617224 783925836 1045234448 1567851672 3135703344